Line contact between a rigid indenter and a damaged elastic body

M. D. Bryant; G. R. Miller; L. M. Keer

doi:10.1093/qjmam/37.3.467

Line contact between a rigid indenter and a damaged elastic body

M. D. Bryant^*, G. R. Miller, L. M. Keer

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

53 Scopus citations

Abstract

The two-dimensional problem of a rigid cylinder sliding on an elastic half-space containing a surface-breaking crack is solved using complex-variable techniques. The problem is reduced to a singular-integral equation which is solved numerically. Results are obtained for comparison with previous contact fatigue calculations, which were based on prescribed Hertzian contact stresses as opposed to the prescribed displacements as used in this paper. It is demonstrated that for engineering applications, prescribing stresses and ignoring interaction effects is a good approximation for the geometries under consideration.

Original language	English (US)
Pages (from-to)	467-478
Number of pages	12
Journal	Quarterly Journal of Mechanics and Applied Mathematics
Volume	37
Issue number	3
DOIs	https://doi.org/10.1093/qjmam/37.3.467
State	Published - Aug 1984

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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@article{d3a7b2236f7149b899019cd0c03a2c01,

title = "Line contact between a rigid indenter and a damaged elastic body",

abstract = "The two-dimensional problem of a rigid cylinder sliding on an elastic half-space containing a surface-breaking crack is solved using complex-variable techniques. The problem is reduced to a singular-integral equation which is solved numerically. Results are obtained for comparison with previous contact fatigue calculations, which were based on prescribed Hertzian contact stresses as opposed to the prescribed displacements as used in this paper. It is demonstrated that for engineering applications, prescribing stresses and ignoring interaction effects is a good approximation for the geometries under consideration.",

author = "Bryant, {M. D.} and Miller, {G. R.} and Keer, {L. M.}",

note = "Funding Information: The authors are grateful for support of this research through the U.S. Army Research Office, Grant DAAG 29-78-0199 and the National Science Foundation, Grant MEA-7923261. The authors express thanks for many stimulating conversations with coinvestigators H. S. Cheng and T. Mura of Northwestern University.",

year = "1984",

month = aug,

doi = "10.1093/qjmam/37.3.467",

language = "English (US)",

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journal = "Quarterly Journal of Mechanics and Applied Mathematics",

issn = "0033-5614",

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T1 - Line contact between a rigid indenter and a damaged elastic body

AU - Bryant, M. D.

AU - Miller, G. R.

AU - Keer, L. M.

N1 - Funding Information: The authors are grateful for support of this research through the U.S. Army Research Office, Grant DAAG 29-78-0199 and the National Science Foundation, Grant MEA-7923261. The authors express thanks for many stimulating conversations with coinvestigators H. S. Cheng and T. Mura of Northwestern University.

PY - 1984/8

Y1 - 1984/8

N2 - The two-dimensional problem of a rigid cylinder sliding on an elastic half-space containing a surface-breaking crack is solved using complex-variable techniques. The problem is reduced to a singular-integral equation which is solved numerically. Results are obtained for comparison with previous contact fatigue calculations, which were based on prescribed Hertzian contact stresses as opposed to the prescribed displacements as used in this paper. It is demonstrated that for engineering applications, prescribing stresses and ignoring interaction effects is a good approximation for the geometries under consideration.

AB - The two-dimensional problem of a rigid cylinder sliding on an elastic half-space containing a surface-breaking crack is solved using complex-variable techniques. The problem is reduced to a singular-integral equation which is solved numerically. Results are obtained for comparison with previous contact fatigue calculations, which were based on prescribed Hertzian contact stresses as opposed to the prescribed displacements as used in this paper. It is demonstrated that for engineering applications, prescribing stresses and ignoring interaction effects is a good approximation for the geometries under consideration.

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JO - Quarterly Journal of Mechanics and Applied Mathematics

JF - Quarterly Journal of Mechanics and Applied Mathematics

IS - 3

ER -

Line contact between a rigid indenter and a damaged elastic body

Abstract

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